Cremona's table of elliptic curves

1170 = 2 · 3² · 5 · 13

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 13+	Signs for the Atkin-Lehner involutions
Class	1170n	Isogeny class
Conductor	1170	Conductor
∏ cp	160	Product of Tamagawa factors cp
Δ	4797151257600 = 210 · 38 · 52 · 134	Discriminant
Eigenvalues	2- 3- 5-  4  0 13+  2  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-48677,-4120099]	[a1,a2,a3,a4,a6]
j	17496824387403529/6580454400	j-invariant
L	3.2142459329827	L(r)(E,1)/r!
Ω	0.32142459329827	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	9360bz2 37440bv2 390g2 5850r2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1170n2

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
-	-	-	4	0	+	2	4	-8	-2	-8	2	6	12	0	-10	0	-10	-4	16	-6	-8	4	14	-6

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Quadratic twists for elliptic curve 1170n2

-4	8	-3	5	-7	13
9360bz2	37440bv2	390g2	5850r2	57330eg2	15210o2

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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